Evaluate the integral. 8. dx 2

Q: 22+88

A:

Q: 1. Find the centroid of each of the given plane region bounded by the following curves: y = 10x – x²...

A: We know that; The expression for the centroid is: x=1A∬xdydx & y=1A∬ydydxWhere;Area=A=∬dydx   Gi...

Q: Consider the following differential equation - (8 – r) dr + 9rds = 0

A:

Q: Verify that fy =f for the following function. %3D f(x.y) =*y+5

A:

Q: Find the unit vector in the direction of v. v = -6.9i + 2.5j U =

A:

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval (a, b). (Select ...

A:

Q: If a given function is an even function, then prove that f(x)dx = 2 f, f(x. Graphically support your...

A: Topic:-  application of integration

Q: Find dy/dæ in terms of æ and y if æ°y – x – 2y – 1 = 0. dy dx

A: We have to find dydx in terms of x and y if x3y-x-2y-1=0.

Q: Let f(x) = 6 sin- (x³) f' (x):

A: Basic identities of differentiation are used

Q: 2. Find the general solution of the differential equation: dy dy 5 + 6y = e3x dx - dx?

A:

Q: 6. Find the centroid of each of the given plane region bounded by the following curves: y? = x³, y =...

A:

Q: Evaluate the integral. (Hint: rewrite cot, do u-sub) 1/8 4 cot (40) de 1/16 O In 2 In 2 In 8 2 O. In...

A:

Q: (a) Find a power series representation for the following function. (Give f(x) = In(8- z) f(x) = In 8

A:

Q: Find the solution to the following differential equation: У+ 16у %3D 0, у(0) 3 2, У (0) %3 2, У(0) 3...

A:

Q: Given the lim f(x) = 7 and lim g(x) = 11, what is lim[Ự(*)•g(x}}? %3D г. 28 b. 44 C. 77 If lim f(x) ...

A: we know that limit get multiplied when we apply to limit to multiplication of two functions , theref...

Q: -3 •8*+7* |1.7*+8* Solve lim A) - в о C) 0 D) -3

A:

Q: Homew O Points: 0 of 1 Does the sequence (a,) converge or diverge? Find the limit if the sequence is...

A:

Q: Find the angle O between the two vectors given below. 0%3(5,2)cnd v= (-6,-1). Ako drawa figure.

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A:

Q: An offshore oil well is located in the ocean at point W, which is 5 miles from the closest shorepoin...

A:

Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the...

A:

Q: Find the root of f(x) = e–x – 5x after two iterations of the simple fixed-point iteration method wit...

A: Here we have to use the fixed point iteration method

Q: Find the component form of the given vector V. belaw Dont forget round off to two decimal piacees. 5...

A: a) given that : r=14 & θ=55°  then components of the vectors are x=rcosθ , y=rsinθ   therefore (...

Q: Solve the initial value problem. ds = 12t(3t² - 1)°, s(1)=7 dt The solution is s =

A:

Q: Find dy/dx implicitly and find the largest interval of the form -a <y <a or 0 < y <a such that y is ...

A:

Q: 6 Convert your original pair of complex numbers to polar form. D= 1-j2 A = 2+j3

A:

Q: 9. A rancher has 400' of fencing with which to enclose two adjacent rectangular corrals. What dimens...

A:

Q: Let f(x) = 3 cos(x) sin¬(x). Find f' (x). f'(x) =

A:

Q: Find the centroid of each of the given plane region bounded by the following curves: y = x³,y = 4x [...

A: follow the procedure given below.

Q: Question 5 Find the value or values of c that satisfy the conclusion of the mean value theorem in th...

A: Use mean value theorem

Q: Evaluate the integral. (Hint: rewrite cot, do u-sub) R/8 4 cot (40) de n/16 In 2 2 In 8 2 O In 2 In ...

A: Given definite integral can be solve using substitution method . 

Q: dy 3. Find using implicit differentiation given that dx y? seca – log(r? + y²) = e* + cot(ry).

A:

Q: 2(x- y)(4x + y)dx + x(5x - y)dy = 0

A:

Q: and the direction of the aiven.vetor Find the magnitude u=(3,-4)

A: Consider the vector  v=3,-4  

Q: How many license plates can be made using either two uppercase English letters followed by four digi...

A:

Q: Vx-2 a) Evaluate limx→4 without using L'Hospital's Rule, i.e. using a strategy we x-4 studied in Cha...

A: Given problem:-

Q: Cansider the functions and its 1st devnative 4 h(g) = 5q* – 2q% → h'(q) = 10q² – 4q? 2 r(r) = 5n(2) ...

A:

Q: Solve the differential equation. dy = e5x - 5y dx

A:

Q: 8x/3 dx

A: ∫8x1/3dx= 8x4/34/3+C=6x4/3+C

Q: 4-VE Find the limit: lim→16 x-16

A: We need to evaluate the following limit limx→164-xx-16

Q: Create 1 graph of a function that shows continuous, removable, jump and asymptotic discontinuity (al...

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) - si...

A: The given function is  h(x)=sin2 x+cos x               0&lt;x&lt;2π

Q: If lim f(x) = 9 and lim g(x) = -4, which of the following is true? %3D a. limif(x) + g(x)} = -5 b. l...

A: 1) Given that limit of f(x) at x=2 is 9 and limit of g(x) at x=2 is -4, then we have to find correct...

Q: An open box is to be made from a rectangular piece of material by cutting equal squares from each co...

A: Explanation of the answer is as follows

Q: ind all values of x for which the series converges. (Enter your answer using interval notation.) 8. ...

A:

Q: Evaluate sec (13t)dt. sec (13t)dt =

A:

Q: 6 Convert your original pair of complex numbers to polar form. D=1-j2 A=2+j3

A: Convert rectangular into polar coordinates

Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Write the standard form of the equation of the circle with the given characteristics. endpoints of a...

A:

Q: 1. Which of the following is true about the limit of a function described by limf(x)? a. The limit o...

A: